Abstract:According to the theory of dynamic system stability,the commodity price system with supply and demand was established. The asymptotic stability condition of zero solution with impulsive delay was proposed to analyze the relative relationship among system parameters, pulse and delay interval. Under the condition of a certain price adjustment mechanism, the stability of market price can be realized. However, the price of the regulation mechanism has an effective range, and the commodity price is unstable beyond the range.The numerical simulations show that time lag and impulses can control the stability of system effectively with reasonable economics explanation.